10211311506 has 64 divisors (see below), whose sum is σ = 22458093696. Its totient is φ = 3069580800.

The previous prime is 10211311501. The next prime is 10211311549. The reversal of 10211311506 is 60511311201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10211311501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7729326 + ... + 7730646.

It is an arithmetic number, because the mean of its divisors is an integer number (350907714).

Almost surely, 2^10211311506 is an apocalyptic number.

10211311506 is an abundant number, since it is smaller than the sum of its proper divisors (12246782190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10211311506 is a wasteful number, since it uses less digits than its factorization.

10211311506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 10211311506 its reverse (60511311201), we get a palindrome (70722622707).

The spelling of 10211311506 in words is "ten billion, two hundred eleven million, three hundred eleven thousand, five hundred six".